This morning, you borrowed $$262,000$ to buy a house. The mortgage annual rate is an APR of $7\mathrm{.}35$ percent. The loan is to be repaid in equal monthly payments over $20$ years with the first payment due one month from today. Assume each month is equal to $1/12$ of a year and all taxes and insurance premiums are paid separately. How much of the tenth payment applies to the principal balance?